Use a Graphing Utility to Select the Correct Graph $y _ { 1 } \text { and } y _ { 2 }$

question 56

Multiple Choice

Use a graphing utility to select the correct graph $y _ { 1 } \text { and } y _ { 2 }$ in the same viewing window. Use the graphs to determine whether $y _ { 1 } = y _ { 2 }$ Explain your reasoning. $$y _ { 1 } = \cos ( x + 6 ) , y _ { 2 } = \cos x + \cos 6$$

• A) No, \(y _ { 1 } \neq y _ { 2 }\) because their graphs are different.
• B) No, \(y _ { 1 } \neq y _ { 2 }\) because their graphs are Same.
• C) Yes, \(y _ { 1 } = y _ { 2 }\) because their graphs are different.
• D) Yes, \(y _ { 1 } = y _ { 2 }\) because their graphs are same.
• E) No, \(y _ { 1 } = y _ { 2 }\) because their graphs are different.

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Definitions:

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Motivation

The internal or external forces that stimulate desire and energy in people to be continually interested and committed to a role, job, or subject, or to make an effort to attain a goal.

Glucose

A simple sugar that is an important energy source in living organisms and is a component of many carbohydrates.

Continuation Therapy

A phase of psychiatric treatment aimed at preventing relapse following acute response, extending over weeks to months.